Cauchy's theorem of the mean is proved by means of nestedintervals, with Rolle's and Lagrange's theorems of the mean as its corollaries.
本文根据区间套的方法,证明柯西中值定理,而把罗尔定理和拉格朗日中值定理作为它的推论。
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The purpose of this note is to point out: the principle of nestedintervals is important not only in the theory of real number but for various applied problems.